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Finding the Fourth Proportional to 377.72, 521.20 and 218.19

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Solution

The fourth proportional to 377.72, 521.20 and 218.19 is: 301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.72 : 521.20 = 218.19 : x
  2. Step 2: Convert to fraction form
    377.72/521.20 = 218.19/x
  3. Step 3: Cross multiply
    377.72x = 521.20 × 218.19
  4. Step 4: Simplify right side
    377.72x = 113,719.54
  5. Step 5: Solve for x
    x = 113,719.54/377.72
  6. Step 6: Final answer
    x = 301.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.